Finding the Third Proportional to 13,834 and 21,456

Step by Step Solution

1. Step 1: Write the proportion equation
   13,834 : 21,456 = 21,456 : x
2. Step 2: Convert to fraction form
   13,834/21,456 = 21,456/x
3. Step 3: Cross multiply
   13,834x = 21,456 × 21,456
4. Step 4: Simplify right side
   13,834x = 460,359,936
5. Step 5: Solve for x
   x = 460,359,936/13,834
6. Step 6: Final answer
   x = 33,277.43